Create Transformations2D.py

linear_algebra/src/Transformations2D.py

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+#2D matrices used for linear transformation in linear algebra 
+
+import numpy as np
+import math 
+
+class Transformations:
+
+	def scaling(self,scaling_factor):
+		return(scaling_factor*(np.identity(2))) #This returns a scaling matrix
+
+	def rotation(self,angle):
+		arr = np.empty([2, 2])
+
+		arr[0][0] = math.cos(angle)
+		arr[0][1] = -math.sin(angle)
+		arr[1][0] = math.sin(angle)
+		arr[1][1] = math.cos(angle)
+
+		return arr #This returns a rotation matrix
+
+
+	def projection(self,angle):
+		arr = np.empty([2, 2])
+
+		arr[0][0] = math.cos(angle)*math.cos(angle)
+		arr[0][1] = math.sin(angle)*math.cos(angle)
+		arr[1][0] = math.sin(angle)*math.cos(angle)
+		arr[1][1] = math.sin(angle)*math.sin(angle)
+
+		return arr #This returns a rotation matrix
+
+
+	def reflection(self,angle):
+		arr = np.empty([2, 2])
+
+		arr[0][0] = (2*math.cos(angle)) -1
+		arr[0][1] = 2*math.sin(angle)*math.cos(angle)
+		arr[1][0] = 2*math.sin(angle)*math.cos(angle)
+		arr[1][1] = (2*math.sin(angle)) -1
+
+		return arr #This returns a reflection matrix